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Quantitative Techniques – I




                    Notes          3.  The selection of period of moving average is a difficult task and a great deal of care is
                                       needed to determine it.
                                   4.  Like arithmetic mean, the moving averages are too much affected by extreme values.

                                   5.  The trend values obtained by moving averages may not follow any mathematical pattern
                                       and thus, cannot be used for forecasting which perhaps is the main task of any time series
                                       analysis.



                                      Task  Assuming a four-yearly cycle, find the trend values for the following data by the
                                     method of moving average.
                                                    Year     : 1997 1998 1999  2000 2001 2002 2003
                                               Sales(in  '000) :  74  100  97  87    90  115   126
                                                    Year     : 2004 2005 2006 2007 2008 2009 2010
                                               Sales(in  '000) :  108  100  125  118  113  122  126

                                       !
                                     Caution  Method of moving average should be used only if the trend is linear, When the
                                     trend is not linear, we often use weighted rather than simple moving average.

                                   Self Assessment

                                   Fill in the blanks:
                                   1.  The successive intervals are usually ........................ time intervals.
                                   2.  ......................... can be 10 years, a year, a quarter, a month, a week, a day, an hour, etc.
                                   3.  The data on the population of India is a time series data where time interval between two
                                       successive figures is ...................................
                                   4.  Figures of national income, agricultural and industrial production, etc., are available on
                                       ............................. basis.
                                   5.  A series of observations, on a variable, recorded after successive intervals of time is called
                                       a ...............................
                                   6.  The time series data are .............................. data in which one of the variables is time.
                                   7.  Factors affecting the agricultural output may be ......................... from the factors affecting
                                       industrial output.
                                   8.  ............................. is the general tendency of the data to increase or decrease or stagnate
                                       over a long period of time.
                                   9.  Periodic Variations are also known as ..................................which repeat themselves after a
                                       regular interval of time.
                                   10.  Any trade  cycle has  four phases  which are  respectively  known  as boom,  recession,
                                       .............................. and .............................. phases.
                                   11.  The time interval between two identical phases is known as the period of .........................

                                   12.  Normally, the period of cyclical variations lies between ..................... years.
                                   13.  ............................. or ............................... Variations variations do not reveal any regular pattern
                                       of movements.




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